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Constructive Approximation, ISSN 0176-4276, 10/2019, Volume 50, Issue 2, pp. 271 - 291
For limiting noncompact Sobolev embeddings into continuous functions, we study the behavior of approximation, Gelfand, Kolmogorov, Bernstein and isomorphism... 
Non-compactness | Secondary 47G10 | Numerical Analysis | Analysis | s -numbers | Mathematics | Sobolev embeddings | Primary 47B06 | s-numbers | MATHEMATICS | OPERATORS | CURVES | Statistics | Numerical analysis | Mathematics - Functional Analysis
Journal Article
The Michigan Mathematical Journal, ISSN 0026-2285, 04/2010, Volume 59, Issue 1, pp. 189 - 210
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2019, Volume 91, Issue 5, pp. 1 - 20
Let $$\Omega \subset \mathbb {R}^d$$ Ω⊂Rd be open. We investigate conditions under which an operator T on $$L_2(\Omega )$$ L2(Ω) has a continuous kernel $$K... 
Intergral operator | Secondary 47B10 | Continuous kernel | Mercer’s theorem | Analysis | Mathematics | Primary 47G10
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 685 - 701
We determine exactly when two classes of integral operators are bounded on weighted $$L^p$$ L p spaces over the Siegel upper half-space. 
Siegel upper half-space | Primary 32A35 | Operator Theory | Weighted $$L^p$$ L p spaces | 30E20 | 47G10 | Analysis | Bergman type operators | Boundedness | Secondary 32A26 | Mathematics, general | Mathematics | Weighted $$L^p$$Lpspaces | MATHEMATICS | Weighted L-p spaces | MATHEMATICS, APPLIED | Mathematics - Complex Variables
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2019, Volume 91, Issue 5, pp. 1 - 26
This paper discusses how much information on a Friedrichs model operator can be detected from ‘measurements on the boundary’. We use the framework of boundary... 
Detectable subspace | Analysis | 34L05 | 47B35 | Mathematics | 47A10 | M -function | Friedrichs model | Primary 47G10 | Inverse problem | Secondary 30H10
Journal Article
Analysis Mathematica, ISSN 0133-3852, 12/2017, Volume 43, Issue 4, pp. 547 - 565
We obtain necessary and sufficient conditions on functions s 1(t),..., s m (t) and ψ(t) such that the weighted multilinear Hardy–Cesàro operator $$\left( {f_1... 
42B35 | 47P05 | 47G10 | Analysis | Mathematics | Morrey–Herz space | Hardy–Cesàro operator
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 8/2017, Volume 286, Issue 3, pp. 1277 - 1302
In this paper, we shall prove the $$L^{p}$$ L p endpoint decay estimates of oscillatory integral operators with homogeneous polynomial phases S in $$\mathbb... 
Polynomial phases | 44A05 | Sharp $$L^p$$ L p boundedness | 47G10 | Mathematics, general | Oscillatory integral operators | Mathematics | Endpoint decay estimates
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 02/2018, Volume 146, Issue 2, pp. 723 - 731
For Volterra operator V\colon L^1(0,1)\to C[0,1] and summation operator \sigma \colon \ell ^1\to c, we obtain exact values of Approximation, Gelfand,... 
Integral operator | Summation operator | S-numbers | MATHEMATICS | MATHEMATICS, APPLIED | s-numbers | SPACES | WIDTHS | summation operator | HARDY-TYPE OPERATORS
Journal Article
Journal of Elasticity, ISSN 0374-3535, 6/2014, Volume 116, Issue 1, pp. 27 - 51
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 01/2019, Volume 67, Issue 1, pp. 186 - 195
We consider the algebra of mixed multidimensional integral operators. In particular, Fredholm integral operators belong to this algebra. For the piecewise... 
Operator algebras | traces and determinants | representation of integral operators | piecewise constant kernel functions | 16G99 | 45P05 | 47G10 | 58C40 | 74J05 | MATHEMATICS | PERIODIC OPERATORS | ALGEBRA | Kernels | Operators (mathematics) | Algebra | Representations | Integrals
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 01/2018, Volume 274, Issue 2, pp. 573 - 604
In this paper we study a key example of a Hermitian symmetric space and a natural associated double flag variety, namely for the real symplectic group G and... 
Double flag variety | Hermitian symmetric space | Prehomogeneous vector space | Degenerate principal series representation | MATHEMATICS | Degenerate principal series | TRIPLES | PRINCIPAL SERIES REPRESENTATIONS | ORBITS | representation
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 21
Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with... 
Maximal multilinear operators | 42B25 | 47G10 | Analysis | Calderón–Zygmund operator | Mathematics, general | Mathematics | Applications of Mathematics | Commutators | MATHEMATICS | MATHEMATICS, APPLIED | Calderon-Zygmund operator | WEIGHTED NORM INEQUALITIES | SINGULAR-INTEGRALS | KERNELS | Operators (mathematics) | Multiplication | Function space
Journal Article
Banach Journal of Mathematical Analysis, ISSN 1735-8787, 2015, Volume 9, Issue 3, pp. 24 - 42
Let a and beta be orientation-preserving diffeomorphisms (shifts) of R+ = (0, infinity) onto itself with the only fixed points 0 and infinity, where the... 
Index | Mellin pseudodifferential operator | Weighted singular integral operator | Fredholmness | Slowly oscillating shift | MATHEMATICS | MATHEMATICS, APPLIED | TOEPLITZ-OPERATORS | slowly oscillating shift | CONVOLUTIONS | index | weighted singular integral operator
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 3/2014, Volume 102, Issue 3, pp. 245 - 255
We prove that a weakly ergodic, eventually strong Feller semigroup on the space of measures on a Polish space converges strongly to a projection onto its fixed... 
Tauberian theorem | Strong Feller | Kernel operator | Primary 40E05 | 47G10 | Mathematics, general | Markovian semigroup | Mean ergodic | Mathematics | Secondary 47D07 | MATHEMATICS | BEHAVIOR
Journal Article
Analysis Mathematica, ISSN 0133-3852, 9/2019, Volume 45, Issue 3, pp. 535 - 568
For any dimension n ≥ 2, we consider the maximal directional Hilbert transform $$\mathscr{H}_U$$ H U on ℝ n associated with a direction set... 
Hilbert transform | 42B25 | maximal directional Hilbert transform | 47G10 | Analysis | 42B20 | Mathematics | 42B15 | 42B05 | tree system | MATHEMATICS | KAKEYA SETS | ARBITRARY SETS | DIFFERENTIATION | OPERATORS | SINGULAR-INTEGRALS
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 7/2019, Volume 13, Issue 5, pp. 2269 - 2276
In this paper, we obtain the exact norm of the following integral operator $$P^{\alpha }_{t}$$ P t α $$\begin{aligned} P^{\alpha }_{t}f(z)=\int _{\mathbb... 
Integral operator | Operator Theory | 47G10 | Analysis | Mathematics, general | Norm | Bloch-type projection | Mathematics | 30H30 | Bloch-type space | MATHEMATICS | MATHEMATICS, APPLIED | Business schools
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 7/2016, Volume 85, Issue 3, pp. 303 - 306
We pose the problem of determining the exact value of the operator norm of the Cauchy transform. A lower bound of the norm is presented. 
Cauchy transform | Primary 32A35 | 30E20 | 47G10 | Analysis | Secondary 32A26 | Mathematics | Bergman projection | norm estimates | Hardy space | MATHEMATICS | PROJECTION
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 4/2019, Volume 91, Issue 2, pp. 1 - 20
When the weight $$\mu $$ μ is more general than normal, the complete characterizations in terms of the symbol g and weights for the conditions of the... 
Volterra type operator | Secondary 30H05 | Analysis | Compactness | Bloch type space | Boundedness | Mathematics | Primary 47G10 | Weighted Banach space | MATHEMATICS | INTEGRATION OPERATORS | GROWTH | MULTIPLIERS
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 1/2018, Volume 34, Issue 1, pp. 29 - 41
We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we... 
42B99 | paraproduct | 47G10 | Mathematics, general | Bilinear Hilbert transform | Mathematics | 42A50 | tri-linear operators | MATHEMATICS | UNIFORM BOUNDS | MATHEMATICS, APPLIED | Mathematical analysis | Hilbert transformation | Linear operators
Journal Article
Constructive Approximation, ISSN 0176-4276, 12/2018, Volume 48, Issue 3, pp. 385 - 413
We obtain several estimates for the $$L^p$$ Lp operator norms of the Bergman and Cauchy–Szegö projections over the the Siegel upper half-space. As a... 
32A26 | Siegel upper half-space | 32A35 | 30E20 | 47G10 | Numerical Analysis | Analysis | Norm estimates | Cauchy–Szegö projection | Mathematics | Bergman projection | MATHEMATICS | BLOCH SPACE | PLANES | CONSTANT | Cauchy-Szego projection | L-P SPACES
Journal Article
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